OpenAlex 2,465 works 113 author topics
Works
2,465 works
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OpenAlex top 10%
OpenAlex 92.7%
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OpenAlex 10.8%
Proceedings of the National Academy of Sciences (PNAS), a peer reviewed journal of the National Academy of Sciences (NAS) - an authoritative source of high-impact, original research that broadly spans the biological, physical, and social sciences.
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Primes in tuples I 2009YÖKSİS SJR Q1 JCR Q1 OpenAlex top 1% OpenAlex 99.3%
We introduce a method for showing that there exist prime numbers which are very close together. The method depends on the level of distribution of primes in arithmetic progressions. Assuming the Elliott-Halberstam conjecture, we prove that there are infinitely often primes differing by 16 or less. Even a much weaker c…
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YÖKSİS
SJR Q2
JCR Q3
OpenAlex top 1%
OpenAlex 99.6%
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YÖKSİS
SJR Q3
JCR Q4
OpenAlex 16.1%
We review the algebraic structure of $\mathbb{H}{\sharp}$ and show that $\mathbb{H}{\sharp}$ has a scalar product that allows as to identify it with semi Euclidean ${\mathbb{E}}^4_2$ . We show that a pair q and p of unit split quaternions in $\mathbb{H}{\sharp}$ determines a rotation $R_{qp}:\mathbb{H}{\sharp}{\righta…
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OpenAlex 84.3%
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YÖKSİS
SJR Q2
JCR Q4
OpenAlex top 10%
OpenAlex 91.1%
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OpenAlex top 10%
OpenAlex 94.0%
No abstract yet.
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OpenAlex top 10%
OpenAlex 92.5%
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YÖKSİS
SJR Q4
OpenAlex 0.9%
Some characterizations of the Euclidean rectifying curves, i.e. the curves in E 3 which have a property that their position vector always lies in their rectifying plane, are given in (3). In this paper, we charac- terize non-null and null rectifying curves, lying fully in the Minkowski 3-space E 3 1 . Also, in conside…
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YÖKSİS
SJR Q2
JCR Q3
OpenAlex 65.8%
No abstract yet.
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Primes in Tuples II 2010YÖKSİS SJR Q1 JCR Q1 OpenAlex top 10% OpenAlex 97.4%
We prove that $ \mathop{ \lim \inf}\limits_{n \rightarrow \infty} \frac{p_{n+1}-p_{n}}{\sqrt{\log p_{n}} \left(\log \log p_{n}\right)^{2}}< \infty, $where pn denotes the nth prime. Since on average pn+1−pn is asymptotically log n, this shows that we can always find pairs of primes much closer together than the average…
Academicians
113 academicians
- YUSUF YAYLI 120 author topics
- SALİM YÜCE 40 author topics
- GÜNAY ÖZTÜRK 38 author topics
- MURAT TOSUN 37 author topics
- MEHMET ALİ GÜNGÖR 27 author topics
- BENGÜ BAYRAM 23 author topics
- NİLGÜN SÖNMEZ 23 author topics
- TÜLAY ERİŞİR 23 author topics
- MURAT KEMAL KARACAN 21 author topics
- İSMAİL GÖK 20 author topics
- BETÜL BULCA SOKUR 19 author topics
- BEYHAN YILMAZ 18 author topics